Question

if tanA=3cotA then prove that secA=2

Answer 1

Answer:

secA = 2

Step-by-step explanation:

sinA/cosA = cosA/sinA ×3

sin²A = 3 cos²A

1-cos²A = 3cos²A

4cos²A = 1

cos²A = 1/4

cosA = 1/2

we know that cosA= 1/ secA

therefore, secA = 1/1/2

=> secA = 2

hence prove the result.